What is equivalent to 3/2?
Understand the Problem
The question is asking for a value that is equivalent to the fraction 3/2. This involves identifying different forms or representations of the same numerical value.
Answer
The fraction $\frac{3}{2}$ is equivalent to 1.5, or 150\%, and can also be expressed as $\frac{6}{4}$.
Answer for screen readers
The fraction $\frac{3}{2}$ is equivalent to 1.5, or 150%, and can also be expressed as $\frac{6}{4}$.
Steps to Solve
- Convert the fraction to a decimal
To convert the fraction $\frac{3}{2}$ into a decimal form, you divide 3 by 2.
$$ 3 \div 2 = 1.5 $$
- Convert the fraction to a percentage
To express the fraction as a percentage, multiply the decimal by 100.
$$ 1.5 \times 100 = 150% $$
- Show the equivalent fraction
You can also express the fraction $\frac{3}{2}$ in terms of another numerator and denominator. For example, if you multiply both the numerator and denominator by 2:
$$ \frac{3 \times 2}{2 \times 2} = \frac{6}{4} $$
Thus, $\frac{3}{2}$ is equivalent to $\frac{6}{4}$.
The fraction $\frac{3}{2}$ is equivalent to 1.5, or 150%, and can also be expressed as $\frac{6}{4}$.
More Information
Fractions can be expressed in multiple forms, including decimals and percentages, and sometimes in terms of larger or smaller fractions. This flexibility is useful in various mathematical applications.
Tips
- Miscalculating the division in converting to a decimal.
- Forgetting to multiply by 100 when converting to a percentage.
- Not simplifying equivalent fractions properly.